Abstract
We consider reoptimization (i.e., the solution of a problem based on information available from solving a similar problem) for branch-and-bound algorithms and propose a generic framework to construct a reoptimizing branch-and-bound algorithm. We apply this to an elevator scheduling algorithm solving similar subproblems to generate columns using branch-and-bound. Our results indicate that reoptimization techniques can substantially reduce the running times of the overall algorithm.
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References
Ausiello, G., Bonifaci, V., Escoffier, B.: Complexity and Approximation in Reoptimization. In: Computability in Context: Computation and Logic in the Real World. Imperial College Press/World Scientific (2011)
Desrochers, M., Soumis, F.: A reoptimization algorithm for the shortest path problem with time windows. European J. Oper. Res. 35, 242–254 (1988)
DIP – Decomposition for Integer Programming, https://projects.coin-or.org/Dip
Friese, P., Rambau, J.: Online-optimization of a multi-elevator transport system with reoptimization algorithms based on set-partitioning models. Discrete Appl. Math. 154(13), 1908–1931 (2006)
Galati, M.: Decomposition in Integer Linear Programming. PhD thesis, Lehigh University (2009)
Gamrath, G.: Generic branch-cut-and-price. Diploma thesis, TU Berlin (2010)
Gamrath, G., Lübbecke, M.E.: Experiments with a generic Dantzig-Wolfe decomposition for integer programs. In: Festa, P. (ed.) SEA 2010. LNCS, vol. 6049, pp. 239–252. Springer, Heidelberg (2010)
GCG – Generic Column Generation, http://www.or.rwth-aachen.de/gcg/
Hiller, B.: Online Optimization: Probabilistic Analysis and Algorithm Engineering. PhD thesis, TU Berlin (2009)
Hiller, B., Klug, T., Tuchscherer, A.: An exact reoptimization algorithm for the scheduling of elevator groups. Flexible Services and Manufacturing Journal (to appear)
Krumke, S.O., Rambau, J., Torres, L.M.: Real-time dispatching of guided and unguided automobile service units with soft time windows. In: Möhring, R.H., Raman, R. (eds.) ESA 2002. LNCS, vol. 2461, pp. 637–648. Springer, Heidelberg (2002)
Létocart, L., Nagih, A., Plateau, G.: Reoptimization in Lagrangian methods for the quadratic knapsack problem. Comput. Oper. Res. 39(1), 12–18 (2012)
Miller-Hooks, E., Yang, B.: Updating paths in time-varying networks with arc weight changes. Transportation Sci. 39(4), 451–464 (2005)
Witzig, J.: Effiziente Reoptimierung in Branch&Bound-Verfahren für die Steuerung von Aufzügen. Bachelor thesis, TU Berlin (2013)
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Hiller, B., Klug, T., Witzig, J. (2013). Reoptimization in Branch-and-Bound Algorithms with an Application to Elevator Control. In: Bonifaci, V., Demetrescu, C., Marchetti-Spaccamela, A. (eds) Experimental Algorithms. SEA 2013. Lecture Notes in Computer Science, vol 7933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38527-8_33
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DOI: https://doi.org/10.1007/978-3-642-38527-8_33
Publisher Name: Springer, Berlin, Heidelberg
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